A Residual Monte Carlo Method for Spatially Discrete, Angularly Continuous Radiation Transport
Description/Abstract
Residual Monte Carlo provides exponential convergence of statistical error with respect to the number of particle histories. In the past, residual Monte Carlo has been applied to a variety of angularly discrete radiation-transport problems. Here, we apply residual Monte Carlo to spatially discrete, angularly continuous transport. By maintaining angular continuity, our method avoids the deficiencies of angular discretizations, such as ray effects. For planar geometry and step differencing, we use the corresponding integral transport equation to calculate an angularly independent residual from the scalar flux in each stage of residual Monte Carlo. We then demonstrate that the resulting residual Monte Carlo method does indeed converge exponentially to within machine precision of the exact step differenced solution.
| Creator/Author: | Wollaeger, Ryan T. [Los Alamos National Laboratory] ; Densmore, Jeffery D. [Los Alamos National Laboratory] |
|---|---|
| Publication Date: | 2012 Jun 19 |
| OSTI Identifier: | OSTI ID: 1044108 |
| Report Number(s): | LA-UR-12-22311 |
| DOE Contract Number: | AC52-06NA25396 |
| Other Number(s): | TRN: US1203331 |
| Resource Type: | Conference |
| Resource Relation: | Conference: American Nuclear Society Annual Meeting ; 2012-06-24 - 2012-06-24 ; Chicago, Illinois, United States |
| Research Org: | Los Alamos National Laboratory (LANL) |
| Sponsoring Org: | DOE/LANL |
| Subject: | 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; ACCURACY; CONVERGENCE; GEOMETRY; MONTE CARLO METHOD; RADIATION TRANSPORT; SCALARS; TRANSPORT |
| Country of Publication: | United States |
| Language: | English |
| Update Date: | 2012 Dec 05 |
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